Anderson-Bernoulli Localization at Large Disorder on the 2D Lattice

被引：3

作者：

Li, Linjun ^{[1
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2022年 / 393卷 / 01期

关键词：

DIFFUSION; ABSENCE; PROOF; MODEL;

D O I：

10.1007/s00220-022-04366-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider the Anderson model at large disorder on Z(2) where the potential has a symmetric Bernoulli distribution. We prove that Anderson localization happens outside a small neighborhood of finitely many energies. These finitely many energies are Dirichlet eigenvalues of the minus Laplacian restricted on some finite subsets of Z(2).

引用

页码：151 / 214

页数：64

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